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Finding the Third Proportional to 4,796 and 11,666

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Solution

The third proportional to 4,796 and 11,666 is: 28,376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796 : 11,666 = 11,666 : x
  2. Step 2: Convert to fraction form
    4,796/11,666 = 11,666/x
  3. Step 3: Cross multiply
    4,796x = 11,666 × 11,666
  4. Step 4: Simplify right side
    4,796x = 136,095,556
  5. Step 5: Solve for x
    x = 136,095,556/4,796
  6. Step 6: Final answer
    x = 28,376.89

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.